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2305341820 = 2251946313103
BaseRepresentation
bin1000100101101000…
…1011100101111100
312221122220111110101
42021122023211330
514210131414240
61020431250444
7111062040115
oct21132134574
95848814411
102305341820
11a8333a481
12544079a24
132a97c56b2
1417c25d20c
15d75c939a
hex8968b97c

2305341820 has 48 divisors (see below), whose sum is σ = 5107415040. Its totient is φ = 871649856.

The previous prime is 2305341811. The next prime is 2305341821. The reversal of 2305341820 is 281435032.

2305341820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2305341821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169389 + ... + 182491.

It is an arithmetic number, because the mean of its divisors is an integer number (106404480).

Almost surely, 22305341820 is an apocalyptic number.

2305341820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2305341820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553707520).

2305341820 is an abundant number, since it is smaller than the sum of its proper divisors (2802073220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2305341820 is a wasteful number, since it uses less digits than its factorization.

2305341820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13594 (or 13592 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2305341820 is about 48013.9752572103. The cubic root of 2305341820 is about 1321.0272498005.

Adding to 2305341820 its reverse (281435032), we get a palindrome (2586776852).

The spelling of 2305341820 in words is "two billion, three hundred five million, three hundred forty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 463 926 1852 2315 4630 8797 9260 13103 17594 26206 35188 43985 52412 65515 87970 131030 175940 248957 262060 497914 995828 1244785 2489570 4979140 6066689 12133378 24266756 30333445 60666890 115267091 121333780 230534182 461068364 576335455 1152670910 2305341820